Mittag-Leffler type expansions of ¯ -closed ( 0 , n - 1 ) -forms in certain domains in n

Telemachos Hatziafratis

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 2, page 347-358
  • ISSN: 0010-2628

Abstract

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In this paper we will prove a Mittag-Leffler type theorem for ¯ -closed ( 0 , n - 1 ) -forms in n by addressing the question of constructing such differential forms with prescribed periods in certain domains.

How to cite

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Hatziafratis, Telemachos. "Mittag-Leffler type expansions of $\bar{\partial }$-closed $(0,n-1)$-forms in certain domains in $\mathbb {C}^n$." Commentationes Mathematicae Universitatis Carolinae 44.2 (2003): 347-358. <http://eudml.org/doc/249152>.

@article{Hatziafratis2003,
abstract = {In this paper we will prove a Mittag-Leffler type theorem for $\bar\{\partial \}$-closed $(0,n-1)$-forms in $\mathbb \{C\}^n$ by addressing the question of constructing such differential forms with prescribed periods in certain domains.},
author = {Hatziafratis, Telemachos},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Mittag-Leffler type expansions; $\bar\{\partial \}$-closed forms; Bochner-Martinelli kernel; pseudo convex domain; Mittag-Leffler type theorems},
language = {eng},
number = {2},
pages = {347-358},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Mittag-Leffler type expansions of $\bar\{\partial \}$-closed $(0,n-1)$-forms in certain domains in $\mathbb \{C\}^n$},
url = {http://eudml.org/doc/249152},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Hatziafratis, Telemachos
TI - Mittag-Leffler type expansions of $\bar{\partial }$-closed $(0,n-1)$-forms in certain domains in $\mathbb {C}^n$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 2
SP - 347
EP - 358
AB - In this paper we will prove a Mittag-Leffler type theorem for $\bar{\partial }$-closed $(0,n-1)$-forms in $\mathbb {C}^n$ by addressing the question of constructing such differential forms with prescribed periods in certain domains.
LA - eng
KW - Mittag-Leffler type expansions; $\bar{\partial }$-closed forms; Bochner-Martinelli kernel; pseudo convex domain; Mittag-Leffler type theorems
UR - http://eudml.org/doc/249152
ER -

References

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  1. Hatziafratis T., On a class of ¯ -equations without solutions, Comment. Math. Univ. Carolinae 39.3 (1998), 503-509. (1998) MR1666762
  2. Hatziafratis T., 10.4171/ZAA/858, Z. Anal. Anwendungen 17 (1998), 907-915. (1998) MR1669921DOI10.4171/ZAA/858
  3. Hatziafratis T., Expansions of certain ¯ -closed forms via Fourier-Laplace transform, preprint. 
  4. Hörmander L., An Introduction to Complex Analysis in Several Variables, North-Holland, Amsterdam, 1990. MR1045639
  5. Krantz S., Function Theory of Several Complex Variables, Wadsworth & Brooks/Cole, California, 1992. Zbl1087.32001MR1162310
  6. Range R.M., Holomorphic Functions and Integral Representations in Several Complex Variables, Springer-Verlag, New York, 1986. Zbl0591.32002MR0847923

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